Thanks, @Kelsey Erwin, this is a good practice and what I've asked the various leagues to do.
Just to be clear, however, an existing calendar feed already adds the team name automatically to the iCal feed. This is the feed you get from your own account's schedule page on the SE website (https://my.sportngin.com/user/schedule), selecting SYNC SCHEDULE and then "Other Calendar" for the iCal/webcal link. The problem with this feed is that it does not include every team — it shows me only two of four.
The feed you can get from the mobile app does correctly present all teams, but does not adorn the events with the team name.